Abstract random differential equations with state-dependent delay using measures of noncompactness

This paper is devoted to the existence of random mild solutions for a general class of second-order abstract random differential equations with state-dependent delay. The technique used is a generalization of the classical Darbo fixed point theorem for Fréchet spaces associated with the concept of m...

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Veröffentlicht in:Nonlinear analysis (Vilnius, Lithuania) Lithuania), 2024-05, Vol.29 (3), p.528-542
Hauptverfasser: Heris, Amel, Bouteffal, Zohra, Salim, Abdelkrim, Benchohra, Mouffak, Karapınar, Erdal
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper is devoted to the existence of random mild solutions for a general class of second-order abstract random differential equations with state-dependent delay. The technique used is a generalization of the classical Darbo fixed point theorem for Fréchet spaces associated with the concept of measures of noncompactness. An application related to partial random differential equations with state-dependent delay is presented.
ISSN:1392-5113
2335-8963
DOI:10.15388/namc.2024.29.34969